Klibanov, Michael; Nguyen, Loc H.; Tran, Hung V. Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method. (English) Zbl 07517147 J. Comput. Phys. 451, Article ID 110828, 22 p. (2022). MSC: 65Mxx 35Fxx 35Rxx PDFBibTeX XMLCite \textit{M. Klibanov} et al., J. Comput. Phys. 451, Article ID 110828, 22 p. (2022; Zbl 07517147) Full Text: DOI arXiv
Majid, Abdul; Sial, Sultan Approximate solutions to Poisson-Boltzmann systems with Sobolev gradients. (English) Zbl 1220.65166 J. Comput. Phys. 230, No. 14, 5732-5738 (2011). MSC: 65N30 PDFBibTeX XMLCite \textit{A. Majid} and \textit{S. Sial}, J. Comput. Phys. 230, No. 14, 5732--5738 (2011; Zbl 1220.65166) Full Text: DOI
Majid, Abdul; Sial, Sultan Application of Sobolev gradient method to Poisson-Boltzmann system. (English) Zbl 1194.82105 J. Comput. Phys. 229, No. 16, 5742-5754 (2010). MSC: 82D37 65M06 65F08 PDFBibTeX XMLCite \textit{A. Majid} and \textit{S. Sial}, J. Comput. Phys. 229, No. 16, 5742--5754 (2010; Zbl 1194.82105) Full Text: DOI
Raza, Nauman; Sial, Sultan; Siddiqi, S. Approximating time evolution related to Ginzburg-Landau functionals via Sobolev gradient methods in a finite-element setting. (English) Zbl 1181.65124 J. Comput. Phys. 229, No. 5, 1621-1625 (2010). MSC: 65M60 PDFBibTeX XMLCite \textit{N. Raza} et al., J. Comput. Phys. 229, No. 5, 1621--1625 (2010; Zbl 1181.65124) Full Text: DOI
Raza, Nauman; Sial, Sultan; Siddiqi, Shahid S.; Lookman, Turab Energy minimization related to the nonlinear Schrödinger equation. (English) Zbl 1161.65339 J. Comput. Phys. 228, No. 7, 2572-2577 (2009). MSC: 65K10 49M15 81Q05 PDFBibTeX XMLCite \textit{N. Raza} et al., J. Comput. Phys. 228, No. 7, 2572--2577 (2009; Zbl 1161.65339) Full Text: DOI
Raza, Nauman; Sial, Sultan; Siddiqi, Shahid S. Sobolev gradient approach for the time evolution related to energy minimization of Ginzburg-Landau functionals. (English) Zbl 1166.65348 J. Comput. Phys. 228, No. 7, 2566-2571 (2009). MSC: 65K10 49M25 82C80 PDFBibTeX XMLCite \textit{N. Raza} et al., J. Comput. Phys. 228, No. 7, 2566--2571 (2009; Zbl 1166.65348) Full Text: DOI
Sial, S.; Neuberger, J.; Lookman, T.; Saxena, A. Energy minimization using Sobolev gradients: application to phase separation and ordering. (English) Zbl 1097.49002 J. Comput. Phys. 189, No. 1, 88-97 (2003). MSC: 49J10 65K10 74G15 74G65 74N99 PDFBibTeX XMLCite \textit{S. Sial} et al., J. Comput. Phys. 189, No. 1, 88--97 (2003; Zbl 1097.49002) Full Text: DOI arXiv
Timonov, Alexandre; Klibanov, Michael V. An efficient algorithm for solving the inverse problem of locating the interfaces using the frequency sounding data. (English) Zbl 1057.86010 J. Comput. Phys. 183, No. 2, 422-437 (2002). MSC: 86A22 78A46 65N21 86-08 78M20 PDFBibTeX XMLCite \textit{A. Timonov} and \textit{M. V. Klibanov}, J. Comput. Phys. 183, No. 2, 422--437 (2002; Zbl 1057.86010) Full Text: DOI