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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Sonraí bibleagrafaíochta
Príomhchruthaitheoirí:	Houston, P, Schwab, C, Suli, E
Formáid:	Report
Foilsithe / Cruthaithe:	Unspecified 1998

Míreanna comhchosúla

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Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems
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hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization.
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Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods
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A note on the design of hp-adaptive finite element methods for elliptic partial differential equations
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Discontinuous Galerkin methods for first-order hyperbolic problems
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hp-DGFEM for Partial Differential Equations with Nonnegative Characteristic Form
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hp-DGFEM for partial differential equations with nonnegative characteristic form
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems
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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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Optimal Error Estimates for the hp–Version Interior Penalty Discontinuous Galerkin Finite Element Method
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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
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Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
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Adaptive Finite Element Simulation of Currents at Microelectrodes to 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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