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A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems

Journal Article · · Numerische Mathematik
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Not provided.

Research Organization:
City Univ. of New York (CUNY), NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
FG02-86ER53233
OSTI ID:
1849942
Journal Information:
Numerische Mathematik, Vol. 148, Issue 4; ISSN 0029-599X
Publisher:
Springer Berlin Heidelberg
Country of Publication:
United States
Language:
English

References (21)

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A projection-based error analysis of HDG methods journal March 2010
Boundary-Conforming Discontinuous Galerkin Methods via Extensions from Subdomains journal August 2009
A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity journal July 2013
Interpolatory HDG Method for Parabolic Semilinear PDEs journal January 2019
Solving Dirichlet Boundary-value Problems on Curved Domains by Extensions from Subdomains journal January 2012
A Posteriori Error Estimates for HDG Methods journal August 2011
A Posteriori Error Analysis for Hybridizable Discontinuous Galerkin Methods for Second Order Elliptic Problems journal January 2013
An a posteriori error estimate for the variable-degree Raviart-Thomas method journal October 2013
$L^2 $ Estimates for Galerkin Methods for Semilinear Elliptic Equations journal February 1987
Adaptive iterative linearization Galerkin methods for nonlinear problems journal July 2020
An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems journal January 2018
A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems journal January 2003
A Hybridizable Discontinuous Galerkin solver for the Grad–Shafranov equation journal February 2019
Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains journal October 2020
A posteriori error estimators for convection-diffusion equations journal October 1998
A Novel Two-Grid Method for Semilinear Elliptic Equations journal January 1994
Two-Grid Discretization Techniques for Linear and Nonlinear PDE s journal October 1996

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