Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications-Reference-Cited by-同舟云学术

Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications

Published:2019-02-24 Issue:2 Volume:19 Page:165-167
ISSN:1609-9389
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Nataraj Neela¹

Affiliation:

1. Department of Mathematics , Indian Institute of Technology Bombay , Powai , Mumbai 400076 , India

Abstract

Abstract This is an introduction to the first eight articles in this volume that contains the special issue on Recent Advances in PDE: Theory, Computations and Applications. These peer-reviewed articles address recent developments in the areas of convection-diffusion-reaction problems, stabilizability of control systems with application to Oseen problems, obstacle problems, multigrid methods for quad-curl problems and discontinuous Petrov–Galerkin methods for spectral approximations. Some of the contributors of these articles were plenary speakers of the conference organized in honor of the numerical analyst Professor Amiya Kumar Pani. The conference was organized to acknowledge his outstanding contribution for the growth of applied mathematics in India.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference9 articles.

1. L. Banz, B. P. Lamichhane and E. P. Stephan, Higher order mixed FEM for the obstacle problem of the p-Laplace equation using biorthogonal systems, Comput. Methods Appl. Math. 19 (2019), no. 2, 169–188.

2. R. Biswas, A. K. Dond and T. Gudi, Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem, Comput. Methods Appl. Math. 19 (2019), no. 2, 189–214.

3. S. C. Brenner, J. Cai and L. Sung, Multigrid methods based on Hodge decomposition for a quad-curl problem, Comput. Methods Appl. Math. 19 (2019), no. 2, 215–232.

4. C. Carstensen, A. K. Dond and H. Rabus, Quasi-optimality of adaptive mixed FEMs for non-selfadjoint indefinite second-order linear elliptic problems, Comput. Methods Appl. Math. 19 (2019), no. 2, 233–250.

5. J. Gopalakrishnan, L. Grubis̆ić, J. Ovall and B. Q. Parker, Analysis of FEAST spectral approximations using the DPG discretizations, Comput. Methods Appl. Math. 19 (2019), no. 2, 251–266.