Two-level additive Schwarz preconditioners for nonconforming finite element methods
Mathematics of Computation
Overcoming Corner Singularities Using Multigrid Methods
SIAM Journal on Numerical Analysis
Convergence of nonconforming multigrid methods without full elliptic regularity
Mathematics of Computation
A robust nonconforming H2-element
Mathematics of Computation
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Poincaré-Friedrichs Inequalities for Piecewise H1 Functions
SIAM Journal on Numerical Analysis
Journal of Scientific Computing
Journal of Scientific Computing
A discontinuous Galerkin method for the Cahn-Hilliard equation
Journal of Computational Physics
Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation
Journal of Scientific Computing
A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems
Journal of Scientific Computing
Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems
Calcolo: a quarterly on numerical analysis and theory of computation
Journal of Scientific Computing
Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems
SIAM Journal on Numerical Analysis
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
SIAM Journal on Numerical Analysis
A $\mathcal{C}^0$ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Calcolo: a quarterly on numerical analysis and theory of computation
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains
Journal of Scientific Computing
Isoparametric C0 interior penalty methods for plate bending problems on smooth domains
Calcolo: a quarterly on numerical analysis and theory of computation
Journal of Computational and Applied Mathematics
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C0 interior penalty methods for fourth order elliptic boundary value problems on polygonal domains are analyzed in this paper. A post-processing procedure that can generate C1 approximate solutions from the C0 approximate solutions is presented. New C0 interior penalty methods based on the techniques involved in the post-processing procedure are introduced. These new methods are applicable to rough right-hand sides.