Isogeometric analysis provides smooth shape functions on a tensor product domain.However,on a multipatch geometry it is not trivial to construct optimally-a
PetIGA-MF is an extension of PetIGA,a high-performance framework for isogeometric analysis based on PETSc.PetIGA-MF implements the spaces coming from the di
We consider the approximation in the reaction-diffusion norm with continuous finite elements and prove that the best error is equivalent to a sum of local b
Variational inequalities have been playing a key role in the modern scientific world.The theory of variational inequalities provides a generalization of the
Self-adaptive numerical methods provide a powerful and automatic approach in scientific computing.In particular,Adaptive Mesh Refinement(AMR)algorithms have
We present recovery-based a posteriori error estimators for finite element approximation of elliptic equations.The flux is recovered in H(div)finite element
Wave equation migration methods provide accurate and detailed subsurface images by incorporating the influence of complex wave arrivals and features that ar
We present an factorization approach to resolve the source singularities of traveltime and amplitude when solving the eikonal and transport equations that r