Local discontinuous Galerkin methods for elliptic problems
Copyright policy )Local discontinuous Galerkin methods for elliptic problems
AbstractIn this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical examples are displayed which confirm the theoretical results and show that the coupling works very well. Copyright © 2001 John Wiley & Sons, Ltd.
- Istituto di Matematica Applicata e Tecnologie Informatiche Italy
- University of Minnesota Morris United States
- University of Minnesota United States
- University of Pavia Italy
- National Research Council Italy
numerical examples, Error bounds for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, local discontinuous Galerkin methods, discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, elliptic problems, conforming finite element methods, Finite element, error estimates
numerical examples, Error bounds for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, local discontinuous Galerkin methods, discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, elliptic problems, conforming finite element methods, Finite element, error estimates
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