Taylor & Francis Sofonea, M: Analysis and Approximation of Contact Problems w

Beginning with an introduction to modeling and functional and numerical analysis, Analysis and Approximation of Contact Problems with Adhesion or Damage devotes individual chapters to models involving adhesion and material damage, with each chapter exploring a particular model. For each model, the authors provide the variational formulation and establish the existence and uniqueness of a weak solution. They study a fully discrete approximation scheme that uses the finite element method to discretize the spatial domain and finite differences for the time derivatives. The final section summarizes the results, presents bibliographic comments, and considers future directions in the field.