Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems

Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems

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We analyze the $hp$-version of the streamline-diffusion (SDFEM) and of the discontinuous Galerkin method (DGFEM) for first--order linear hyperbolic problems. For both methods, we derive new error estimates on quadrilateral meshes which are sharp in the mesh-width $h$ and in the spectral order $p$ of...

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Manylion Llyfryddiaeth
Prif Awduron:	Houston, P, Schwab, C, Suli, E
Fformat:	Report
Cyhoeddwyd:	Unspecified 1998

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Stabilized hp-finite element methods for first-order hyperbolic problems
gan: Houston, P, et al.
Cyhoeddwyd: (2000)

Hp-finite element methods for hyperbolic problems
gan: Suli, E, et al.
Cyhoeddwyd: (2000)

hp-Finite Element Methods for Hyperbolic Problems
gan: Suli, E, et al.
Cyhoeddwyd: (1999)

hp-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
gan: Houston, P, et al.
Cyhoeddwyd: (2002)

hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
gan: Houston, P, et al.
Cyhoeddwyd: (2001)

hp-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
gan: Houston, P, et al.
Cyhoeddwyd: (2001)

hp-discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity
gan: Houston, P, et al.
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hp-Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity
gan: Suli, E, et al.
Cyhoeddwyd: (2001)

Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems
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Cyhoeddwyd: (2000)

Discontinuous hp-finite element methods for advection-diffusion-reaction problems
gan: Houston, P, et al.
Cyhoeddwyd: (2002)

hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization.
gan: Houston, P, et al.
Cyhoeddwyd: (2002)

Adaptive Finite Element Approximation of Hyperbolic Problems
gan: Suli, E, et al.
Cyhoeddwyd: (2002)

A-posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic problems
gan: Houston, P, et al.
Cyhoeddwyd: (2006)

Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity
gan: Suli, E, et al.
Cyhoeddwyd: (1996)

Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form
gan: Houston, P, et al.
Cyhoeddwyd: (1999)

Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods
gan: Houston, P, et al.
Cyhoeddwyd: (2002)

A note on the design of hp-adaptive finite element methods for elliptic partial differential equations
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Cyhoeddwyd: (2005)

A note on the design of hp-adaptive finite element methods for elliptic partial differential equations
gan: Houston, P, et al.
Cyhoeddwyd: (2005)

A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs
gan: Houston, P, et al.
Cyhoeddwyd: (2008)

Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form.
gan: Houston, P, et al.
Cyhoeddwyd: (2001)

hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems
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Cyhoeddwyd: (2003)

hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems.
gan: Lasis, A, et al.
Cyhoeddwyd: (2007)

Discontinuous Galerkin methods for first-order hyperbolic problems
gan: Brezzi, F, et al.
Cyhoeddwyd: (2004)

Discontinuous Galerkin methods for first-order hyperbolic problems
gan: Brezzi, F, et al.
Cyhoeddwyd: (2004)

hp-DGFEM for Partial Differential Equations with Nonnegative Characteristic Form
gan: Suli, E, et al.
Cyhoeddwyd: (1999)

hp-DGFEM for partial differential equations with nonnegative characteristic form
gan: Suli, E, et al.
Cyhoeddwyd: (2000)

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems
gan: Ortner, C, et al.
Cyhoeddwyd: (2006)

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems.
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A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems
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Cyhoeddwyd: (1999)

A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems
gan: Suli, E
Cyhoeddwyd: (1997)

Optimal Error Estimates for the hp–Version Interior Penalty Discontinuous Galerkin Finite Element Method
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Cyhoeddwyd: (2003)

Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method
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Approximation of Linear Functionals Using an hp−Adaptive Discontinuous Galerkin Finite Element Method
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Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method
gan: Harriman, K, et al.
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Enhanced accuracy by post-processing for finite element methods for hyperbolic equations.
gan: Cockburn, B, et al.
Cyhoeddwyd: (2003)

Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
gan: Cockburn, B, et al.
Cyhoeddwyd: (2001)

Adaptive Finite Element Simulation of Currents at Microelectrodes to Guaranteed Accuracy: First Order EC' Mechanism at Inlaid and Recessed Discs
gan: Harriman, K, et al.
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Adaptative finite element simulation of currents at microelectrodes to a guaranteed accuracy. First-order EC ' mechanism at inlaid and recessed discs
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A posteriori error analysis for stabilised finite element approximations of transport problems
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Cyhoeddwyd: (1999)

A posteriori error analysis for stabilised finite element approximations of transport problems
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Cyhoeddwyd: (2000)