周叔子论文选PDF电子书下载

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第一篇 微分方程数值计算理论与方法 3

The Linear Finite Element Method for a Two-Dimensional Singular Boundary Value Problem 3

The Solution of Free Boundary Problem for an Axisymmetric Partially Penetrating Well 14

Perturbation for Elliptic Variational Inequalities 28

On Multigrid Methods for Parabolic Problems 39

Nonlinear Stability and D-convergence of Runge-Kutta Methods for Delay Differential Equations 53

On an Axially Symmetric Elastic-Plastic Torsion Problem 66

On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems 81

A Domain Decomposition Method for a Kind of Optimization Problems 99

Analysis of Generalized Schwarz Algorithms for Solving Obstacle Problems with T-monotone Operator 112

A New Minimization Protocol for Solving Nonlinear Poisson-Boltzmann Mortar Finite Element Equation 128

Mathematical Analysis of EEP Method for One-Dimensional Finite Element Postprocessing 147

A New Iterative Method for Discrete HJB Equations 153

Domain Decomposition Method for a System of Quasivariational Inequalities 161

Relaxation Lax-Friedrichs Sweeping Scheme for Static Hamilton-Jacobi Equations 170

A Uniformly Convergent Continuous-Discontinuous Galerkin Method for Singularly Perturbed Problems of Convection-Diffusion Type 188

Uniform Convergence of a Coupled Method for Convection-Diffusion Problems in 2-D Shishkin Mesh 202

第二篇 最优化问题数值算法 221

A Direct Method for the Linear Complementarity Problem 221

The Kantorovich Theorem for Nonlinear Complementarity Problems 226

A Trust Region Method for a Semismooth Reformulation to Variational Inequality Problems 231

Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations 246

A New Exceptional Family of Elements for a Variational Inequality Problem on Hilbert Space 260

A Smoothing Projected Newton-Type Method for Semismooth Equations with Bound Constraints 267

Variational-like Inequalities with Relaxed η-α Pseudo-Monotone Mappings in Banach Spaces 286

非线性互补约束优化问题的可行性条件 294

第三篇 指导的部分学生论文 303

Translating Solitons of Mean Curvature Flow of Noncompact Spacelike Hypersurfaces in Minkowski Space 303

自由边界问题的非协调有限元逼近及其离散问题迭代解 316

发表文章目录 328

后记 335

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