Discontinuous Galerkin Methods for Linear Problems: An Introduction
DOI10.1007/978-3-642-16876-5_5zbMath1250.65139OpenAlexW193810102MaRDI QIDQ2908399
Publication date: 5 September 2012
Published in: Approximation Algorithms for Complex Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-16876-5_5
finite element methodnumerical exampleserror boundsdiscontinuous Galerkin methodsPoisson equationsecond order elliptic equationsupwind finite volume schemes
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
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- On the suboptimality of the \(p\)-version interior penalty discontinuous Galerkin method
- A unifying theory of a posteriori error control for discontinuous Galerkin FEM
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- An introduction to partial differential equations
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- \(hp\)-version discontinuous Galerkin methods for hyperbolic conservation laws
- Energy norm a posteriori error estimation for discontinuous Galerkin methods.
- Stopping criteria for iterations in finite element methods
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Norm Preconditioners for Discontinuous Galerkin $hp$-Finite Element Methods
- ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Local Error Estimates for a Finite Element Method for Hyperbolic and Convection-Diffusion Equations
- The Finite Element Method with Penalty
- Finite Element Methods for Elliptic Equations Using Nonconforming Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Finite Volume Solutions of Convection-Diffusion Test Problems
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method
- DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems
- The Mathematical Theory of Finite Element Methods
- A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems
- Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
- Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form
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