On the use of integrated RBFs in Galerkin approximation for elliptic problems

A Multilevel Method for Discontinuous Galerkin Approximation of Three-dimensional Elliptic Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVII ◽

10.1007/978-3-540-75199-1_14 ◽

2008 ◽

pp. 155-164

Author(s):

Johannes K. Kraus ◽

Satyendra K. Tomar

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Three Dimensional ◽

Elliptic Problems ◽

Multilevel Method

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Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900378480 ◽

2001 ◽

Vol 39 (4) ◽

pp. 1343-1365 ◽

Cited By ~ 67

Author(s):

Xiaobing Feng ◽

Ohannes A. Karakashian

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Second Order ◽

Schwarz Methods ◽

Additive Schwarz ◽

Second Order Elliptic Problems ◽

Additive Schwarz Methods

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A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.028 ◽

2017 ◽

Vol 311 ◽

pp. 599-617 ◽

Cited By ~ 2

Author(s):

Hyea Hyun Kim ◽

Eric T. Chung ◽

Chenxiao Xu

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Oscillating Coefficients

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Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients

Journal of Scientific Computing ◽

10.1007/s10915-020-01257-2 ◽

2020 ◽

Vol 84 (1) ◽

Author(s):

Yingzhi Liu ◽

Yinnian He

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Schwarz Methods

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A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902405217 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2374-2399 ◽

Cited By ~ 200

Author(s):

Ohannes A. Karakashian ◽

Frederic Pascal

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Superconvergence of a modified weak Galerkin approximation for second order elliptic problems by L2 projection method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.06.035 ◽

2019 ◽

Vol 346 ◽

pp. 53-62 ◽

Cited By ~ 1

Author(s):

Betul Bogrek ◽

Xiaoshen Wang

Keyword(s):

Projection Method ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Second Order Elliptic Problems

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On L2-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.08.036 ◽

2009 ◽

Vol 228 (1) ◽

pp. 30-40 ◽

Cited By ~ 3

Author(s):

Thirupathi Gudi ◽

Neela Nataraj ◽

Amiya K. Pani

Keyword(s):

Error Estimate ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Interior Penalty ◽

Dirichlet Data

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A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.544 ◽

2008 ◽

Vol 15 (5) ◽

pp. 417-438 ◽

Cited By ~ 13

Author(s):

J. K. Kraus ◽

S. K. Tomar

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Three Dimensional ◽

Elliptic Problems ◽

Multilevel Method

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The Asymptotics of Bounded Controls in Optimal Nonlinear Elliptic Problems

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v28.i5-6.40 ◽

1996 ◽

Vol 28 (5-6) ◽

pp. 23-35

Author(s):

Vladimir E. Kapustyan ◽

Irina V. Shapoval

Keyword(s):

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Bounded Controls

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Optimal Nonlinear Feedback Control by Using Galerkin Approximation Techniques

AIAA Guidance, Navigation, and Control Conference ◽

10.2514/6.2009-5990 ◽

2009 ◽

Author(s):

Rajnish Sharma ◽

Srinivas Vadali

Keyword(s):

Feedback Control ◽

Galerkin Approximation ◽

Nonlinear Feedback Control ◽

Nonlinear Feedback ◽

Approximation Techniques

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