## Weak and Variational Methods for Moving Boundary Problems |

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### Contents

Preface | 1 |

A Frictional and Contact Problems in Solid Mechanics | 7 |

B Problems in Heat Conduction | 13 |

Copyright | |

9 other sections not shown

### Common terms and phrases

analysis Appl applied boundary conditions boundary values Chapter classical solution conservation law consider const continuous convergence convex convex functional dam problem define denote derivative discontinuity dxdt dxdy enthalpy equivalent example exists a unique explicit field equations finite difference finite element approximation Finite Element Method fixed boundary fixed domain flow free and moving free boundary problem friction function generalised heat Hele-Shaw problem Hence Hilbert space initial Inst integral linear complementarity problem Math mathematical matrix membrane mesh points minimisation moving boundary problems n+1 n+1 Nonlinear norm Numerical Solution obstacle problem one-dimensional one-phase Stefan problem parabolic variational inequalities partial differential equations phase boundary physical porous medium positive prescribed prob satisfies sequence Sobolev spaces solid solving stability Stefan problem temperature theorem theory tion unique solution unknown boundary value problems variable variational inequality vector wave weak and variational weak formulation weak solution zero