Paul Houston

Computational Mechanics · 2000–2016

A researcher in the Science corpus: 18 papers; trusts 35 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 85 citations into it; #1,119 of 10,001 by trust here, #991 by citations
• Numerical Analysis — 37 citations into it; #1,572 of 3,586 by trust here, #1,166 by citations
• Mechanics of Materials — 32 citations into it; #733 of 6,291 by trust here, #1,068 by citations
• Computational Theory and Mathematics — 26 citations into it; #1,791 of 12,182 by trust here, #1,463 by citations
• Electrical and Electronic Engineering — 18 citations into it; #5,824 of 16,539 by trust here, #11,641 by citations

Whom Paul Houston trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Bernardo Cockburn
2. Endre Süli
3. Douglas N. Arnold
4. Roland Becker
5. Mats G. Larson
6. Ralf Hartmann
7. Franco Brezzi
8. Emmanuil H. Georgoulis
9. Gabriel N. Gatica
10. Chi-Wang Shu

Who trusts Paul Houston overall

1. Ralf Hartmann
2. Endre Süli
3. Krzysztof J. Fidkowski
4. Emmanuil H. Georgoulis
5. Dominik Schötzau
6. Bernardo Cockburn
7. Vít Dolejsí
8. Herbert Egger
9. Tobias Leicht
10. Kathryn Harriman

Papers from Paul Houston's perspective

Ordered by how strongly the researchers Paul Houston trusts endorse each paper. Same corpus, a different order for every researcher.

1. Discontinuous hp-finite element methods for advection-diffusion problems
2. A finite element method for domain decomposition with non-matching grids
3. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (SIAM Journal on Numerical Analysis)
4. Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient…
5. Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids (SIAM Journal on Numerical Analysis)
6. A Posteriori Error Estimation for Discontinuous Galerkin Approximations of Hyperbolic Systems
7. Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems (SIAM Journal on Numerical Analysis)
8. The finite element method for elliptic problems (Classics in applied mathematics)
9. Mixed and Hybrid Finite Element Methods (Springer Series in Computational Mathematics)
10. Conforming polygonal finite elements

Their papers

• Discontinuous hp-finite element methods for advection-diffusion problems (2000) — 97 citations
• Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems (2001) — 572 citations
• Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods (2003) — 79 citations
• ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS (2007) — 189 citations
• Adaptive Finite Element Approximation of Hyperbolic Problems (2003) — 80 citations
• Discontinuous Galerkin methods for the biharmonic problem (2009) — 121 citations
• Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains (2016) — 87 citations
• hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes (2016) — 65 citations
• Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: Strongly monotone quasi-Newtonian flows (2013) — 79 citations
• An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems (2011) — 111 citations
• An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations (2007) — 67 citations
• A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs (2007) — 62 citations
• An hp-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity (2006) — 74 citations
• Symmetric Interior Penalty DG Methods for the CompressibleNavier-Stokes Equations I: Method Formulation (2005) — 148 citations
• Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation (2005) — 98 citations
• Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations (2002) — 434 citations
• hp‐Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity (2002) — 73 citations
• hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. (2002) — 71 citations