Analysis of a Class of Penalty Methods for Computing Singular Minimizers
暂无分享,去创建一个
[1] M. Foss,et al. The Lavrentiev Gap Phenomenon in Nonlinear Elasticity , 2003 .
[2] Yu Bai,et al. A TRUNCATION METHOD FOR DETECTING SINGULAR MINIMIZERS INVOLVING THE LAVRENTIEV PHENOMENON , 2006 .
[3] Zhipping Li. Element removal method for singular minimizers in variational problems involving Lavrentiev phenomenon , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[4] Christoph Ortner,et al. On the Convergence of Adaptive Non-Conforming Finite Element Methods , 2008 .
[5] J. Ball,et al. Discontinuous equilibrium solutions and cavitation in nonlinear elasticity , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[6] J. Ball. Convexity conditions and existence theorems in nonlinear elasticity , 1976 .
[7] B. Dacorogna. Direct methods in the calculus of variations , 1989 .
[8] Zhiping Li. ELEMENT REMOVAL METHOD FOR SINGULAR MINIMIZERS IN PROBLEMS OF HYPERELASTICITY , 1995 .
[9] F. Smithies. Linear Operators , 2019, Nature.
[10] L. Evans. Measure theory and fine properties of functions , 1992 .
[11] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[12] J. Ball,et al. A numerical method for detecting singular minimizers , 1987 .
[13] G. Knowles,et al. Finite element approximation to singular minimizers, and applications to cavitation in non-linear elasticity , 1987 .
[14] Harold A. Buetow,et al. Adaptive finite element methods for differential equations , 2003, Lectures in mathematics.
[15] John M. Ball,et al. Singular minimizers for regular one-dimensional problems in the calculus of variations , 1984 .
[16] Chih-Jen Lin,et al. Newton's Method for Large Bound-Constrained Optimization Problems , 1999, SIAM J. Optim..
[17] G. D. Maso,et al. An Introduction to-convergence , 1993 .
[18] P. G. Ciarlet,et al. Three-dimensional elasticity , 1988 .
[19] M. Lavrentieff,et al. Sur quelques problèmes du calcul des variations , 1927 .
[20] Andrea Braides. Γ-convergence for beginners , 2002 .
[21] Yu Bai,et al. NUMERICAL SOLUTION OF NONLINEAR ELASTICITY PROBLEMS WITH LAVRENTIEV PHENOMENON , 2007 .
[22] Pablo V. Negrón Marrero. A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity , 1990 .
[23] Zhiping Li,et al. A numerical method for computing singular minimizers , 1995 .
[24] John M. Ball,et al. One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation , 1985 .