Bulletin of the Japan Society for Industrial and Applied Mathematics

Bulletin of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2432-1982

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Volume 2, Issue 3

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[title in Japanese]

Article type: Cover
1992 Volume 2 Issue 3 Pages Cover1-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_Cover1

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[title in Japanese]

Article type: Index
1992 Volume 2 Issue 3 Pages Toc1-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_Toc1

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[title in Japanese]

Article type: Index
1992 Volume 2 Issue 3 Pages Toc2-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_Toc2

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[title in Japanese]

[in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 211-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_211

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A Rapid Solver for the Potential Problems

Hisashi Okamoto, Masashi Katsurada

Article type: Article
1992 Volume 2 Issue 3 Pages 212-230
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_212

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The linear potential problem not only arises as it is but also appears as a part of nonlinear problem solvers. Hence a rapid solver for the potential problem is of considerable value. Although so many good computer programs are available now, it is worthwhile using programs according as their specific aims rather than solving both complicated problems and simple problems like the potential ones in a single computer code. In this paper we attempt to survey recent results on some algorithms which work only for the Laplace operator but is rapid.

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Numerical Solution of the Timedependent Nonlinear Diffusion Equations

Kenrou Murata

Article type: Article
1992 Volume 2 Issue 3 Pages 231-248
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_231

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A numerical scheme for solving time dependent nonlinear diffusion equations is proposed, and some numerical experiments are executed to evaluate the merits of the scheme. The main feature of the scheme is the scheduled variable time step strategy. With the scheme, some "Stubborn problems" are solved efficiently by the well-known Trapezoidal based method, and some special notices are given to select the test problems, and condensed table of the test is presented.

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A Posteriori Error Estimation and Adaptive Mesh in Finite Element Method

Hideomi Ohtsubo

Article type: Article
1992 Volume 2 Issue 3 Pages 249-263
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_249

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This paper surveys some methods for a posteriori error estimation and their use in the adaptive remeshing for solving linear elasticity problems. A posteriori error estimates covered in this paper are: (i) the method of Zienkiewicz and Zhu based on the discontinuity of stress between elements, (ii) the method of Ohtsubo and Kitamura based on the residual of weak form of boundary value problem, (iii) the method of Oden et al. based on the residual and projection, and (iv) the method of Babuska and Rheinbolt based on the residual of subdomain. These methods are compared with respect to accuracy and computation time. They form a basis for the h-method, which is a method of adaptive remeshing of finite elements that aims at minimizing the total error norm using a given number of nodes in the finite element discretization. Several numerical examples are presented, such as plane stress problems, a plate bending problem, and a three dimensional elastic problem.

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[title in Japanese]

[in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 264-268
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_264

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[title in Japanese]

[in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 269-272
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_269

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[title in Japanese]

[in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 273-274
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_273

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[title in Japanese]

[in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 275-279
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_275

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[title in Japanese]

[in Japanese], [in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 280-281
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_280

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[title in Japanese]

Article type: Appendix
1992 Volume 2 Issue 3 Pages 282-289
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_282

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P.G. Ciarlet and J.L. Lions Editors., HANDBOOK of NUMERICAL ANALYSIS Vol. II, Finite Element Methods (Part 1), Elservier Sci. Publ. (North-Holland), 1991, 928pp.

[in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 290-291
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_290

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[title in Japanese]

[in Japanese]

Article type: Article
1992 Volume 2 Issue 3 Pages 292-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_292

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[title in Japanese]

Article type: Appendix
1992 Volume 2 Issue 3 Pages 293-294
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_293

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[title in Japanese]

Article type: Appendix
1992 Volume 2 Issue 3 Pages 294-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_294

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[title in Japanese]

Article type: Appendix
1992 Volume 2 Issue 3 Pages 295-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_295

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[title in Japanese]

Article type: Appendix
1992 Volume 2 Issue 3 Pages 296-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_296

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[title in Japanese]

Article type: Cover
1992 Volume 2 Issue 3 Pages Cover2-
Published: September 16, 1992
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.2.3_Cover2

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