The main aim of WavES Project is to enable efficient development of modern finite element/difference codes for solution of forward problems for different types of wave equation (acoustic, elastic and electromagnetic) using structured FDM meshes, adaptively refined FEM meshes and hybrid FEM/FDM meshes. The hybrid FEM/FDM method means that different numerical methods, finite elements and finite differences, are used in different subdomains. The purpose is to combine the flexibility of finite elements with the efficiency of finite differences. The hybrid approach may be an important tool to reduce the execution time and memory requirement for large scale computations.