Algorithm 949
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Publication:2828143
DOI10.1145/2658992zbMath1347.65175OpenAlexW2274800794WikidataQ113310275 ScholiaQ113310275MaRDI QIDQ2828143
Francisco-Javier Sayas, Luis F. Gatica, Zhixing Fu
Publication date: 24 October 2016
Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1145/2658992
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Packaged methods for numerical algorithms (65Y15)
Related Items (10)
The pursuit of a dream, Francisco Javier Sayas and the HDG methods ⋮ HDG methods for elastodynamics ⋮ Adaptive hybridizable discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains ⋮ A hybridizable discontinuous Galerkin solver for the Grad-Shafranov equation ⋮ Static Condensation, Hybridization, and the Devising of the HDG Methods ⋮ \textit{A posteriori} error analysis of an HDG method for the Oseen problem ⋮ An HDG method for Maxwell's equations in heterogeneous media ⋮ Numerical analysis \& no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968--2019) ⋮ Discontinuous Galerkin methods with time-operators in their numerical traces for time-dependent electromagnetics ⋮ A superconvergent HDG method for the Maxwell equations
Uses Software
Cites Work
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- Computational bases for \(RT_k\) and \(BDM_k\) on triangles
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- To CG or to HDG: A comparative study
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Mixed finite elements for second order elliptic problems in three variables
- Efficient implementation of adaptive P1-FEM in Matlab
- Singularity-free evaluation of collapsed-coordinate orthogonal polynomials
- A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
- Superconvergent discontinuous Galerkin methods for second-order elliptic problems
- A compendium of FEM integration formulas for symbolic work
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A projection-based error analysis of HDG methods
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Mixed and Hybrid Finite Element Methods
- Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes
- Postprocessing schemes for some mixed finite elements
- Finite Difference Approximation for Pricing the American Lookback Option
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