A Posteriori Error Estimates and Adaptive Methods for Hyperbolic and Convection Dominated Parabolic Conservation Laws

Trends in Nonlinear Analysis ◽

10.1007/978-3-662-05281-5_7 ◽

2003 ◽

pp. 289-306

Author(s):

Dietmar Kröner ◽

Marc Küther ◽

Mario Ohlberger ◽

Christian Rohde

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Methods ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Dominated

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A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-021-01653-4 ◽

2021 ◽

Author(s):

Alberto Bressan ◽

Maria Teresa Chiri ◽

Wen Shen

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

Hyperbolic Conservation Laws ◽

Numerical Solutions ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Hyperbolic Conservation

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Balanced a posteriori error estimates for finite-volume type discretizations of convection-dominated elliptic problems

Computing ◽

10.1007/bf02238485 ◽

1995 ◽

Vol 55 (4) ◽

pp. 305-323 ◽

Cited By ~ 28

Author(s):

L. Angermann

Keyword(s):

Error Estimates ◽

Finite Volume ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Dominated

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Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999350383 ◽

2000 ◽

Vol 38 (3) ◽

pp. 964-988 ◽

Cited By ~ 20

Author(s):

Laurent Gosse ◽

Charalambos Makridakis

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Scalar Conservation Laws ◽

A Posteriori Error ◽

One Dimensional ◽

Scalar Conservation

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Adaptive finite element methods for conservation laws based on a posteriori error estimates

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160480302 ◽

1995 ◽

Vol 48 (3) ◽

pp. 199-234 ◽

Cited By ~ 68

Author(s):

Claes Johnson ◽

Anders Szepessy

Keyword(s):

Finite Element ◽

Conservation Laws ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Finite Element ◽

A Posteriori ◽

Adaptive Finite Element Methods ◽

A Posteriori Error

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A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-99-01158-8 ◽

1999 ◽

Vol 69 (229) ◽

pp. 25-40 ◽

Cited By ~ 67

Author(s):

Dietmar Kröner ◽

Mario Ohlberger

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

Finite Volume ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Finite Volume Schemes ◽

A Posteriori Error ◽

Nonlinear Conservation Laws

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Pricing and hedging of financial derivatives using a posteriori error estimates and adaptive methods for stochastic differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.06.009 ◽

2010 ◽

Vol 235 (3) ◽

pp. 563-592

Author(s):

Kaj Nyström ◽

Thomas Önskog

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Methods ◽

Financial Derivatives ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for the coupling equations of scalar conservation laws

BIT Numerical Mathematics ◽

10.1007/s10543-009-0243-y ◽

2009 ◽

Vol 49 (4) ◽

pp. 697-720 ◽

Cited By ~ 2

Author(s):

Mohammad Izadi

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Scalar Conservation Laws ◽

A Posteriori Error ◽

Coupling Equations ◽

Scalar Conservation

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Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.11.012 ◽

2012 ◽

Vol 218 (9) ◽

pp. 5276-5291 ◽

Cited By ~ 3

Author(s):

B. Achchab ◽

A. Benjouad ◽

M. El Fatini ◽

A. Souissi ◽

G. Warnecke

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusive Transport ◽

A Posteriori ◽

Stationary Convection ◽

A Posteriori Error ◽

Convection Dominated

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A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula

BIT Numerical Mathematics ◽

10.1007/s10543-021-00866-z ◽

2021 ◽

Author(s):

G. Murali Mohan Reddy

Keyword(s):

Differential Equations ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Differentiation Formula ◽

A Posteriori Error ◽

Fully Discrete ◽

Backward Differentiation Formula

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