Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot On Kirchhoff’s model of parabolic type. (English) Zbl 1405.65123 Numer. Funct. Anal. Optim. 37, No. 6, 719-752 (2016). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{S. Kundu} et al., Numer. Funct. Anal. Optim. 37, No. 6, 719--752 (2016; Zbl 1405.65123) Full Text: DOI arXiv
Goswami, Deepjyoti; Pani, Amiya K. An alternate approach to optimal \(L ^{2}\)-error analysis of semidiscrete Galerkin methods for linear parabolic problems with nonsmooth initial data. (English) Zbl 1243.65111 Numer. Funct. Anal. Optim. 32, No. 9, 946-982 (2011). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M15 35K20 65M60 65M20 65M12 PDFBibTeX XMLCite \textit{D. Goswami} and \textit{A. K. Pani}, Numer. Funct. Anal. Optim. 32, No. 9, 946--982 (2011; Zbl 1243.65111) Full Text: DOI
Nair, Pradeepa; Pani, Amiya K. Finite element methods for parabolic variational inequalities with a Volterra term. (English) Zbl 1033.65050 Numer. Funct. Anal. Optimization 24, No. 1-2, 107-127 (2003). Reviewer: Akrur Behera (Rourkela) MSC: 65K10 49J40 PDFBibTeX XMLCite \textit{P. Nair} and \textit{A. K. Pani}, Numer. Funct. Anal. Optim. 24, No. 1--2, 107--127 (2003; Zbl 1033.65050) Full Text: DOI
Sinha, Rajen K.; Pani, Amiya K.; Chung, Sang K. The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation. (English) Zbl 1027.65133 Numer. Funct. Anal. Optimization 24, No. 3-4, 311-325 (2003). Reviewer: Qin Mengzhao (Beijing) MSC: 65M60 65M20 65M15 35L05 PDFBibTeX XMLCite \textit{R. K. Sinha} et al., Numer. Funct. Anal. Optim. 24, No. 3--4, 311--325 (2003; Zbl 1027.65133) Full Text: DOI
Sinha, R. K.; Pani, A. K. The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. (English) Zbl 0940.65156 Numer. Funct. Anal. Optimization 19, No. 9-10, 1129-1153 (1998). Reviewer: S.Zabek (Lublin) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{R. K. Sinha} and \textit{A. K. Pani}, Numer. Funct. Anal. Optim. 19, No. 9--10, 1129--1153 (1998; Zbl 0940.65156) Full Text: DOI
Jones, L.; Pani, A. K. On superconvergence results and negative norm estimates for a unidimensional single phase Stefan problem. (English) Zbl 0834.65126 Numer. Funct. Anal. Optimization 16, No. 1-2, 153-175 (1995). Reviewer: Hou Zongyi (Shanghai) MSC: 65Z05 65M60 65M12 35R35 35K55 80A22 PDFBibTeX XMLCite \textit{L. Jones} and \textit{A. K. Pani}, Numer. Funct. Anal. Optim. 16, No. 1--2, 153--175 (1995; Zbl 0834.65126) Full Text: DOI
Pani, Amiya K.; Das, Purna C. A finite element method for a single phase semilinear Stefan problem in one space dimension. (English) Zbl 0757.65127 Numer. Funct. Anal. Optimization 12, No. 1-2, 153-171 (1991). Reviewer: H.K.Verma (Ludhiana) MSC: 65Z05 65M15 65M60 35R35 35K55 80A22 PDFBibTeX XMLCite \textit{A. K. Pani} and \textit{P. C. Das}, Numer. Funct. Anal. Optim. 12, No. 1--2, 153--171 (1991; Zbl 0757.65127) Full Text: DOI