FINITE ELEMENT CIRCUS TALKS

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Fall 2002, Penn State University

Gergina Pencheva University of Pittsburgh Balancing domain-decomposition for mortar mixed finite element methods
Jung-Han Kimn Worcester Polytechnic Institute A convergence theory for discontinuous overlapping Schwarz method
Constantine Bacuta Penn State Subspace interpolation and applications to elliptic BVP
Jim Bramble Texas A&M L2-based approximation schemes for div-curl systems
Bruce Kellogg University of South Carolina Derivative bounds for a simple singularly perturbed convection-diffusion problem
Noel Heitmann University of Pittsburgh Subgridscale eddy viscosity for convection-dominated diffusive transport
Eric Darrigrand University of Delaware Fast multipole methods and microlocal discretization for the integral equations of electromagnetism
Alexander Alekseenko University of Minnesota Hyperbolic formulations in linearized gravity
Beatrice Riviere University of Pittsburgh Superconvergence and H(div) methods projection for discontinuous Galerkin methods
Shangyou Zhang University of Delaware Nested refinement of quadrilateral and hexahedral elements, and affine approximation
Zhimin Zhang Wayne State Gradient recovery of ZZ discrete least-square fitting at rectangular symmetry points
Peter Monk University of Delaware The ultra-weak variational formulation for the elastic wave equation
Daniel Kessler University of Maryland A posteriori error estimates for the Allen-Cahn problem
Songul Kaya University of Pittsburgh Numerical analysis of a subgrid eddy viscosity method for higher Reynolds number flow problems
Atife Caglar University of Pittsburgh A penalty method for boundary conditions of Navier-Stokes equations
Faranak Pahlevani University of Pittsburgh Time-stepping for multiscale finite element discretization
Matthias Gobbert University of Maryland Baltimore County Parallel numerical solution of the linear Boltzmann equation on irregular three-dimensional domains
Jie Shen Purdue University A new dual-Petrov-Galerkin method for higher odd-order equations
Jun Zhao Institute of Mathematics and its Applicaitons Analysis of finite element approximation of time-dependent Maxwell's problem
Adrian Dunca University of Pittsburgh Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations
Al Schatz Cornell University L-infinity estimates for problems with discontinuous coefficients on nonconvex polygonal domains allowing highly refined grids
Jinchao Xu Penn State Asymptotically exact a posteriori error estimators for unstructured grids

Spring 2002, University of Maryland

A Pleasant Affair

Alan Demlow Cornell University Piecewise linear finite elements are not localized
Varis Carey Cornell University A posteriori error estimation via recovered gradients
Bo Li University of Maryland Lagrange interpolation and finite element superconvergence
Lars Wahlbin Cornell University Max norm resolvent estimates: extreme logarithm-chasing
Chisup Kim Duke University A uniform multilevel precondition for an anistropic mixed finite element problem
Tobias von Petersdorff University of Maryland Boundary elements for Maxwell equations on Lipschitz domains
Alexander Hanhart University of Maryland Baltimore County Numerical simulation of calcium concentration in human heart cells
Dmitriy Leykekhman Cornell University Pointwise localized anaysis for parabolic finite element equations
Kunibert Siebert Universität Freiburg Localized pointwise a posteriori error control for obstacle problems
Richard Falk Rutgers University Quadrilateral H(div) finite elements
John Osborn University of Maryland On principles for selection of shape functions for the generalized finite element method
Uday Banerjee Syracuse University On principles for selection of shape functions for the generalized finite element method, II
Ricardo Nochetto University of Maryland Surface evolution by surface diffusion
Peter Oswald Bell Labs Subdivision schemes
Ludmil Zikatanov Penn State University Subspace correction iterative methods for generalized finite element methods
Zhimin Zhang Wayne State University Meshless gradient recovery
Howard Elman University of Maryland Oscillations and their cure in discrete solutions to the convection-diffusion equation
Constantine Bacuta Penn State University Regularity estimates for Laplace operator via Besov spaces and applications
Daniel Kessler University of Maryland Modeling, numerical analysis, and simulations of a solutal phase-field model
Jae-Hong Pyo University of Maryland Convergence of the Uzawa algorithm for the stationary Stokes equation with relaxation parameter 1
Christos Xenophontos Loyola College Revisiting the Shishkin mesh
Matthias Gobbert University of Maryland, Baltimore County Parallel numerical solution of the Boltzmann equation for atomic layer deposition

Fall 2001, North Carolina State University

A Wolfpack Song

Peter Monk University of Delaware A simple proof of convergence for an edge element for Maxwell's equations
Douglas Arnold University of Minnesota DG methods for elliptic problems
Bruce Kellogg University of South Carolina Corner singularity for a compressible Stokes
Sheng Zhang University of Minnesota Justification of shell theories
Jason Mareno Ericsson, Inc. Productivity enhancements via the mechanical toolbar
Pierre Gremaud North Carolina State University Numerical simulation of powder consolidation
Jie Shen University of Central Florida Viscosity-corrections schemes for incompressible flows
Zhilin Li North Carolina State University New finite element methods for interface problems
Tong Sun Bowling Green University Long time estimate of semilinar parabolic equations

Spring 2001, University of Delaware

Ode to Gore Hall

Joe Jerome Northwestern University Ion transport in moving electrolytes
Alan Demlow Cornell University Sharp localized L-infinity estimates for mixed methods
Matthias Gobbert University of Maryland Baltimore County A feature scale transport and reaction model for atomic layer deposition
Jae-Hong Pyo University of Maryland A finite element gauge-Uzawa method for the evolution Navier-Stokes equations
Joachim Schöberl Texas A&M Multigrid methods for anisotropic edge refinement
Ricardo Nochetto University of Maryland Pointwise a posteriori error control for FE discretization of variational inequalities
Carsten Carstensen University of Kiel A posteriori error control-an advertisement for averaging techniques
Pierre Gremaud North Carolina State University Similarity solutions for hopper flows
Xiaohai Liao University of Maryland Local a posteriori error estimates and adaptive control of pollution effects, part II Stokes equations
Gerard Richter Rutgers University Stable finite element box methods for hyperbolic equations
Olof Widlund Courant Institute Recent results on dual-primal FETI methods
Peter Oswald Bell Labs 1-2 problems on constructing projections for linear finite elements
Pedro Morin University of Maryland An adaptive Uzawa FEM for Stokes: Convergence without the inf-sup
Tong Sun Bowling Green University Long-time error estimation for semilinear parabolic equations
Shangyou Zhang University of Delaware Multigrid method for affine-approximate finite elements
Al Schatz Cornell University L-infinity estimates for equations with discontinuous coefficients on polygonal domains with refined grids

Fall 2000, Rutgers University

Election 2000

Igor Shimansky University of Maryland An asymptotic expansion for the solution of a convection-diffusion problem
Bruce Kellogg University of Maryland Singularly-perturbed convection-diffusion on an incoming sector
Douglas N Arnold Penn State University Mixed finite elements for elasticity in the stress-displacement formulation
Jae-Hong Pyu University of Maryland Gauge method for the Navier-Stokes equations
Pierre Gremaud North Carolina State University Simulation of gravity flow of granular materials
Omar Lakkis University of Maryland A posteriori error estimates for the finite element solution of the mean curvature flow of graphs
Xiaohai Liao University of Maryland Local a posteriori error estimators
Graham Carey University of Texas Conservations properties of superconvergent flux recovery formulas
Alan Demlow Cornell University Suboptimal convergence of mixed methods using BDM elements
Zhimin Zhang Wayne State University Superconvergence points of the serendipity family for harmonic functions
Lars Wahlbin Cornell University Differences of errors in finite element methods
Gerry Richter Rutgers University On the stability of a family of finite element methods for hyperbolic problems
Traian Iliescu Argonne National Labs Large eddy simulation of turbulent flows
Ricardo Nochetto University of Maryland Small data oscillation implies the saturation assumption
Zhangxin Chen Southern Methodist University Mixed discontinuous finite element methods
Zhiqiang Cai Purdue University A finite element method for the Poisson equation with corner singularities
Marcus Sarkis Worcester Polytechnic Institute SRASH: A symmetrized restricted additive Schwarz method
Oren Livne Weizman Institute O(N log N) multilevel calculation of N eigenfunctions
Christos Xenophontos Clarkson University Solution of Laplacian problems over L-shaped domains with a singular boundary integral method
Leon Vardapetyan Lucent Technology Hp-vector finite element method for the full-wave analysis of waveguides at a given frequency

Spring 2000, University of Texas

Finite Elements Forever

Douglas N. Arnold Penn State University Approximation on quadrilateral meshes
Yuri Kuznetsov Texas A & M Iterative methods for problems with very rough coefficients
Leon Vardapetyan University of Texas Full-wave analysis of dielectric waveguides
Theofanis Strouboulis Texas A & M Guaranteed error bounds; generalized finite element method
Zhangxin Chen Southern Methodist University On the relationship of various discontinuous Galerkin methods for second-order problems
Dibyendu Datta Texas A & M Guaranteed upper and lower bounds for quantities of interest in FEM
Shangyou Zhang University of Delaware Neumann data recovery and two applications
Andrew Knyazev University of Colorado at Denver Modern iterative solvers for large sysmmetric generalized eigenvalue problems
Baoyan Li Southern Methodist University Reservoir thermal recovery simulation on parallel computers
Kevin Copp Texas A & M Generalized finite element method
Wan Zhong Dalian University of Technology Symplectic mechanics and applied mechanics
Johannes Tausch Southern Methodist University Wavelet methods for complicated domains
Alan Demlow Cornell University Global L2 estimates for BDM mixed methods
Jayadeep Gopalakrishnan Texas A & M Overlapping Schwarz preconditioner for undamped Maxwell equations
Revathi Narasimhan St. Peters College Optimal stress points for a mixed finite element formulation for incompressible elasticity
Sergei Nepomnyaschikh Russian Academy of Sciences Variable additive preconditioning procedures
Konstantin Lipnikov University of Houston An efficient iterative solver for a coupled 3D elasticity/diffusion problem
Lin Zhang Texas A & M eta%-superconvergence of finite element solutions and error estimates
Andrzej Bajer University of Texas Contact/impact problems, energy conservation, and planetary gear trains
Zhimin Zhang Wayne State University FInite element superconvergence for the Reissner-Mindlin plate equations
Tim Walsh University of Texas hp boundary element modeling of the human ear canal acoutstics
Olaf Steinbach University of Stuttgart Stability of the L2 projection in Sobolev spaces
Susanne Brenner University of South Carolina An additive convergence theory for the multigrid V-cycle algorithm
Padmanabhan Seshaiyer Texas A & M A subdomain inverse finite element characterization of hyperelastic membranes
Dmitri Dashevsky University of Houston Generation of locally refined, locally adapted meshes

Fall 1999, Cornell University

Next Thousand Years

Reva Narasimhan Saint Peter's College Maximum norm estimates for Stokes equations on translation invariant meshes
Pedro Morin Universidad del Litoral, Argentina Data oscillation and convergence of adaptive FEM for elliptic PDE
Jie Shen Penn State Stable and efficient spectral methods in unbounded domains using Laguerre functions
Lars Wahlbin Cornell A negative result on positive approximation
Peter Oswald Bell Labs On multilevel bases for div-free Stokes elements
Christos Xenophontos Clarkson University Optimal finite element meshes for singularly perturbed problems
Hongrong Qin Penn State Multigrid methods for harmonic maps
Graham Carey University of Texas Highly distorted elements
Matthias Gobbert UMBC A homogenization technique for the Boltzmann equation for chemical vapor equation
Min Chen Penn State Four dimensional dynamical systems
Douglas Arnold Penn State Approximation properties by quadrilateral finite elements
Alan Demlow Cornell University Weighted max norm estimates for mixed finite elements
Sonia Garcia Naval Academy Hopefully a new era for numerical analysis
Tong Sun Bowling Green University Mass conservation and long-time estimates
Abani Patra SUNY-Buffalo Error indicators for hypervelocity impact
Alfred Schatz Cornell University Asymptotic error expansions for second order elliptic problems

Spring 1999, Penn State University

Bringing Back the Good Old Days

Ivan Yotov University of Pittsburgh Domain decompositions for multiphase porous media flow on multiblock domains
Ludmil Zikatanov Penn State University Norms of projections in Hilbert space
Bruce Kellogg University of Maryland INFEM: a method for singularly perturbed convection-diffusion
Kunibert Siebert University of Freiburg Adaptive finite elements for phase transition problems with convection
Michael Holst University of California at San Diego Using local estimates to decouple adaptive finite element methods
Manil Suri University of Maryland Baltimore County Numerical analysis of buckling in thin plates
Daniele Boffi University of Pavia Discrete compactness for edge elements
Pedro Morin University of Maryland Do adaptive algorithms converge?
Anastasios Liakos University of Pittsburgh Imposition of boundary conditions for Stokes equations
Zhiping Li Peking University On the computation of microstructures
Alexandre Madureira Penn State Error analysis for hierarchical plate models using asymptotic analysis
Lars Wahlbin Cornell University On positive finite element approximation
Monique Dauge University of Rennes Maxwell equations and non-conves corners: the eventuality of a numerical catastrophe
Varis Carey Cornell University Locally constrained projections
Tim Barth NASA Ames A posteriori error estimation and adaptive methods for stabilized FEM approximations of hyperbolic problems
Jinchao Xu Penn State University Partition-of-unity finite element and multigrid methods
Ricardo Nochetto University of Maryland Error control for the continuous casting problem
Feng Wang University of California at Irvine Adaptive multigrid method for the Poisson-Boltzmann Equation
Peter Monk University of Delaware Finite element methods for ferromagnetic problems
Zhimin Zhang Texas Tech University Local recovery properties of SPR for rectangular finite elements
Jian Guo Liu University of Maryland Discontinuous Galerkin methods for 2-D incompressible flows

Fall 1998, University of Maryland

Ricardo Nochetto University of Maryland Positivity preserving finite element interpolation and applications
Graham Carey University of Texas Progress and open questions on least squares finite element methods
Peter Oswald Bell Labs A scheme for deriving discrete harmonic extension operators within the additive Schwarz method
Lars Wahlbin Cornell University Asymptotically exact a posteriori estimates for the pointwise gradient error on each element
Jian-Guo Liu University of Maryland A simple finite element method for incompressible flow
Matthias Gobbert UMBC A survey of finite elements for the computation of crystalline microsctructure
Sergey Asvadurov Schlumberger How to make a three point scheme exponentially convergent: applications to elasticity
Ludmil Zikatanov Penn State University A multigrid method using graph level sets
Dexuan Xie Courant Institute Symmetric PSOR as an efficient parallel preconditioner
Bruce Kellogg University of Maryland Best approximation (n-width) for the 1D Helmholtz equation
Daniele Boffi University of Pavia and Penn State University A penalty method for the Maxwell eigenproblem
David Sidilkover NASA Factorizable schemes for the equations of fluid flow
Jinchao Xu Penn State University Some local/parallel methods for elliptic problems
Tong Sun Texas A&M Object-oriented program for general mixed finite element methods
Jan Chleboun University of Texas On a problem with uncertain input data: quasilinear steady state heat flow
Al Schatz Cornell University Some improved pointwise estimates for differences
Christos Xenophontos Clarkson University Application of the p version of the FEM to applications of elastoplasticity with localization of deformation
Dan Stefanica Courant Institute Numerical Results for the FETI method with mortar finite element methods
Xuejun Zhang Texas A&M Least-squares finite element method for div-curl systems
Richard Falk Rutgers University New locking free finite elements for the Reissner-Mindlin plate
Hwanho Kim Penn State University Some multilevel methods for non-SPD and/or indefinite elliptic systems
Doug Arnold Penn State University Multigrid in H(div) and H(curl)
Bo Li UCLA Finite element modeling of microstructure near an interface between twinned layers and homogeneous states
Mohammed Aiffa Penn State University A new hierarchical basis for triangles and tetrahedra
Olof Widlund Courant Institute Iterative substructuring methods for vector field finite element discretizations
Marcus Sarkis Worcester Polytech Discretizations on overlapping non-matching grids

Spring 1998, University of Colorado at Denver

Rocky Mountain Circus High

Vladimir Druskin Schlumberger Doll 3-point scheme exponentially convergent
Jinn-Liang Liu National Chiao Tung University Unified a posteriori error estimation for FEM, FVM, and BEM
Ivo Babuska University of Texas at Austin New results in the p-version of the FEM
Tong Sun Texas A&M University Long-time error estimates
Rossen Parashkevov University of Colorado at Denver New error estimates for the flux in mixed methods
Biyue Liu University of Rhode Island Numerical solutions of compressible Navier-Stokes
Andrew Knyazev University of Colorado at Denver Error estimates when coefficients jump or go to infinity or zero
Shag-di Shih University of Wyoming Internal layers of singularly perturbed problems
Kyran D. Mish California State University at Chico & Sandia/Livermore A finite element solver interface specification for scalable linear algebra packages
Douglas N. Arnold Penn State University Tetrahedral bisection
Bruce Wade University of Wisconsin at Milwaukee The weighted continuous Galerkin method for evolution equations
Zhimin Zhang Texas Tech University Finite element superconvergent recovery for elements of the intermediate family of the second type
Zhiqiang Cai Purdue University First order least squares for linear elasticity
Jan Mandel University of Colorado at Denver Lagrange multiplier based domain decomposition for plate bending
Thomas F. Russell University of Colorado at Denver Accurate discretizations and efficient solvers for groundwater flow
Susanne Brenner University of South Carolina Lower bounds for two level additive Schwarz preconditioners with small overlap
Joe Pasciak Texas A&M University Computational scales of Sobolev norms with application to preconditioners and domain decomposition
Michael Holst University of California at Irvine MC: An adaptive multilevel finite element code for nonlinear forms on 2- and 3- manifolds
Feng Wang University of California at Irvine Multigrid precondition for the Chebyshev-collocation method
Hae-Sae Oh University of North Carolina at Charlotte The p-version of the finite element method for the Stokes problem over domains with corners

Fall 1997, Cornell University

The Fair Maiden of Ithaca      The Circus comes to Cornell

John Osborn University of Maryland Can a finite element perform arbitrarily badly?
Jinchao Xu Penn State University EAFE scheme for convection-diffusion equations and conservation laws
Don French University of Cincinnati pointwise a posteriori error estimates for the obstacle problem
Lars Wahlbin Cornell University Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations
Barbara Wohlmuth Universität Augsburg Helmholtz type decomposition as a construction tool
Houde Han Tsinghua University A new finite element method for the Stokes equations and the MAC method
Zhimin Zhang Texas Tech University Finite element superconvergence of a singularly perturbed problem
Al Schatz Cornell University An examination of a local a posteriori error estimator for elliptic problems
Ricardo Nochetto University of Maryland Optimal a posteriori error estimates for variable time-step discretizations of evolution inequalities
Bill Hager University of Florida Euler discretization in optimal control
Peter Oswald Lucent Technologies Multilevel solvers for H-1/2 problems: piecewise constant approximation
Manil Suri University of Maryland Baltimore County hp finite element methods for non-Newtonian flows
Dan Stefanica Courant Institute Mortar finite elements for the FETI method
Ion Bica Schlumberger-Doll Research Iterative substructuring algorithms for p-version of the finite element method
Edriss Titi University of California at Irvine Post-processing Galerkin: A novel approach to intertial manifolds

Spring 1997, Courant Institute

That is a Heck of a Mesh Generator Your Have There

Dexuan Xie Courant Institute The parallel U-cycle method
Ivo Babuska University of Texas A posteriori error estimate for singularly perturbed problems
Ralf Hiptmair Universität Augsburg Multigrid methods for Maxwell's Equations
Ching L. Chang Cleveland State Piecewise linear approximations to the Stokes problem with velocity boundary conditions
Bruce Kellogg University of Maryland A forward-backward parabolic problem
Howard Elman University of Maryland Efficient solution of the three-dimensional Helmholtz equation
Al Schatz Cornell University Error estimates via Aubin-Nitsche duality with only H1 regularity
Lawrence Chilton University of Maryland Baltimore County Mixed hp elements for nonlinear elasticity
Frank Ihlenburg Universität Rostock Numerical analysis of exterior Helmholtz problems with finite and infinite elements
Padmanabhan Seshaiyer University of Maryland Baltimore County Uniform hp estimates over partitioned domains
Jonathan Goodman Courant Institute Anisotropic adaptive refinement for finite elements
Yin T. Shih University of Maryland Efficient streamline upwind schemes for convection-diffusion problems
Hae-Sae Oh University of North Carolina at Charlotte Weighted finite element method for elasticity on unbounded domains
Manil Suri University of Maryland Baltimore County On the spectrum of linearized buckling problems
Ragnar Winther University of Oslo On domain embedding preconditioners for the Dirichlet problem
Ion Bica Courant Institute Domain decomposition for the p-version of the finite element method
Dan Stefanica Courant University Poincare- and Friedrichs-type inequalities for the mortar FEM
Peter Monk University of Delaware Adaptive computations for far field patterns by a posteriori error estimation of linear functionals
Zhimin Zhang Texas Tech University Finite element and difference methods for some stochastic PDEs
Benji Guo University of Manitoba Direct and inverse theorems for the p-version finite element method using weighted Besov spaces
Vadim Korneev University of Maryland Baltimore County Curved Cn finite elements
Richard Falk Rutgers University Equilibrim shape of deformable elastic crystals

Fall 1996, University of Tennessee

Ivo's Lament

Susanne Brenner University of South Carolina Multigrid methods for stress intensity factors
Wang Feng Penn State A crosswind strip domain decomposition method for convection dominated problems
Ivo Babuska University of Texas Superconvergence in the elements at boundary
Pierre Gremaud North Carolina State University Numerical experiments about Hamilton-Jacobi and the viscosity criterion
Da-Qing Wang Carnegie Mellon A covolume scheme for elecromagnetic scattering in 3D
Xiaobing Feng University of Tennessee Transmission conditions and non-overlapping domain decomposition algorithms for the finite element method
Lawrence Cowsar Lucent Technologies Analysis of finite volume Scharfetter-Gummel method for steady convection diffusion equations
Douglas Arnold Penn State Derivation and justification of plate models
Zhimin Zhang Texas Tech University Natural superconvergence points for the gradient
Ohannes Karakashian University of Tennessee Discontinuous and continuous Galerkin methods for the nonlinear Schrodinger equation
Vadim Korneev University of Maryland Baltimore County On domain decomposition preconditioning in the hierarchical p-version of the finite element method
Charles Collins University of Tennessee Convergence of a reduced integration method for computing microstructures
Al Schatz Cornell University A study of some averaging methods as local a posteriori error estimators for elliptic problems
Steve Serbin University of Tennessee Some remarks on continuous diagonally-implicit Runge-Kutta methods
Olof Widlund Courant Institute Mortar finite elements and domain decomposition

Spring 1996, University of South Carolina

Poem

Ron DeVore University of South Carolina Numerical methods for recovering solun u to a PDE
Lars Wahlbin Cornell University Max-norm estimates for FEM in parabolic problems: out of the stone age
Jinshui Qin University of Tennessee Some iterative methods for solving saddlepoint problems
Peter Monk University of Delaware The perfectly matched layer
Ridgway Scott University of Houston High order methods for fluid flow
Douglas Arnold Penn State Performance of a preconditioner for the Reissner-Mindlin plate
Bo Li University of Minnesota Finite element analysis of microstructure for martensitic crystals
Vladimir Temlyakov University of South Carolina Universal cubature formulas
Konstantine Oskolkov University of South Carolina Regularity of the Schrodinger equation of a free particle
Hong Wang University of South Carolina An ELLAM scheme for advection diffusion equations
Soren Jensen University of Maryland Baltimore County Existence and uniqueness for a general forward/backward heat equation
Doug Meade University of South Carolina A non-overlapping domain decomposition method for the Helmholtz equation

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