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Operator-Splitting Methods and Applications to the Direct Numerical Simulation of Particulate Flow and to the Solution of the Elliptic Monge-Ampere Equation |
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1 | (28) |
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Operator-Splitting Schemes for the Time-Discretization of Initial Value Problems |
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2 | (4) |
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Operator-Splitting Methods for the Direct Numerical Simulation of Particulate Flow |
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6 | (8) |
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An Operator-Splitting Method for the Elliptic Monge-Ampere Equations in Two-Dimension |
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14 | (15) |
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Dynamical Shape Sensitivity |
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29 | (8) |
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30 | (1) |
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30 | (1) |
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31 | (2) |
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Dynamical Shape Sensitivity of the Fluid |
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33 | (3) |
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36 | (1) |
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Optimal Control of a Structural Acoustic Model with Flexible Curved Walls |
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37 | (16) |
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37 | (1) |
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Background and Literature |
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38 | (1) |
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Statement of Main Results |
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39 | (2) |
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41 | (1) |
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The Unforced, Conservative Shell Model |
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42 | (3) |
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Structurally Damped, Forced Shell Wall of an Acoustic Chamber |
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45 | (2) |
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47 | (1) |
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48 | (5) |
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Nonlinear Wave Equations with Degenerate Damping and Source Terms |
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53 | (10) |
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Definitions and Main Results |
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55 | (3) |
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Outline of the Proof of Theorem 3 |
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58 | (5) |
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Numerical Modeling of Phase Change Problems |
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63 | (10) |
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Stefan Problem and Semi-Phase-Field Formulation |
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64 | (1) |
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Finite Element Discretization |
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65 | (1) |
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65 | (1) |
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66 | (1) |
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67 | (6) |
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Shape Optimization of Free Air-Porous Media Transmission Coefficient |
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73 | (12) |
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Computation of the Porous Shape |
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76 | (5) |
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Optimal Porous Shape Domain |
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81 | (4) |
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The Uniform Fat Segment and Uniform Cusp Properties in Shape Optimization |
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85 | (12) |
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Preliminaries: Topologies on Families of Sets |
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86 | (1) |
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The New Uniform Fat Segment Property |
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87 | (4) |
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Equivalence of the Uniform Cusp and Fat Segment Properties |
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91 | (6) |
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Topology Optimization for Unilateral Problems |
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97 | (10) |
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Transformations of the Energy Functional for the Laplace Equation |
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98 | (4) |
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102 | (5) |
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Second Order Lagrange Multiplier Approximation for Constrained Shape Optimization Problems |
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107 | (12) |
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108 | (4) |
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Optimization of Constrained Problems |
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112 | (2) |
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114 | (5) |
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Mathematical Models of ``Active'' Obstacles in Acoustic Scattering |
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119 | (12) |
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The Mathematical Models of the Masking and Ghost Obstacle Problems |
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122 | (3) |
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The Optimality Conditions for the Ghost Obstacle Problem and Some Numerical Experience |
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125 | (6) |
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Local Null Controllability in a State Constrained Thermoelastic Contact Problem |
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131 | (14) |
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Control of the Linear System |
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135 | (1) |
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Nonlinear Case: Application of a Fixed Point Theorem |
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136 | (7) |
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The State Constrained Null Control Problem |
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143 | (1) |
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143 | (2) |
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On Sensitivity of Optimal Solutions to Control Problems for Hyperbolic Hemivariational Inequalities |
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145 | (12) |
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146 | (1) |
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147 | (4) |
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Sensitivity of Solution Sets for Second Order HVIs |
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151 | (2) |
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Complementary Γ-convergence of Cost Functionals |
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153 | (4) |
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Evolution Hemivariational Inequality with Hysteresis and Optimal Control Problem |
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157 | (12) |
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158 | (3) |
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Hemivariational Inequality with Hysteresis |
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161 | (2) |
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Estimates on the Solutions of (HVI) |
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163 | (1) |
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164 | (5) |
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On the Modeling and Control of Delamination Processes |
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169 | (20) |
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169 | (2) |
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171 | (6) |
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177 | (5) |
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Optimization of Delamination Processes |
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182 | (3) |
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185 | (4) |
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On a Spectral Variational Problem Arising in the Study of Earthquakes |
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189 | (12) |
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Main Results and Physical Motivation |
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190 | (4) |
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194 | (7) |
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Nodal Control of Conservation Laws on Networks |
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201 | (16) |
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202 | (2) |
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204 | (1) |
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205 | (1) |
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Directional Differentiability |
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206 | (1) |
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Evaluation of Directional Derivatives |
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206 | (5) |
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211 | (3) |
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214 | (3) |
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Invariance of Closed Sets under Stochastic Control Systems |
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217 | (14) |
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219 | (1) |
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Necessary and Sufficient Conditions for the Invariance |
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220 | (4) |
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Invariance of Stochastic Control Systems |
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224 | (7) |
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Uniform Stabilization of an Anisotropic System of Thermoelasticity |
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231 | (12) |
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232 | (3) |
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Proof of Theorem 3: Uniform Stabilization |
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235 | (6) |
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241 | (2) |
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Semigroup Well-Posedness of a Multilayer Mead-Markus Plate with Shear Damping |
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243 | (14) |
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Multilayer Mead-Markus Model |
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244 | (4) |
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State Variable Formulation |
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248 | (3) |
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Semigroup Formulation of Homogeneous Problem |
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251 | (6) |
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Solution of Algebraic Riccati Equations Arising in Control of Partial Differential Equations |
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257 | (24) |
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Solution of Lyapunov Equation |
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260 | (3) |
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263 | (5) |
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268 | (13) |
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Stabilization in Computing Saddle Points |
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281 | (12) |
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282 | (1) |
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Results on the Order of Saddle Points |
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283 | (3) |
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Reduce Instability by Using Symmetries |
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286 | (3) |
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Selected Numerical Examples |
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289 | (4) |
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Second Order Sufficient Conditions for Optimal Control Subject to First Order State Constraints |
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293 | (12) |
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294 | (4) |
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Second Order Sufficient Conditions via Hamilton-Jacobi Inequality |
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298 | (2) |
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Checking Positive Definiteness with Riccati Equation |
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300 | (2) |
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302 | (3) |
| Index |
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305 | |
Lisainfo e-raamatute kohta