The review of the optimal local truncation error method (OLTEM) for the numerical solution of
PDEs is presented along with some new developments of OLTEM. First, we explain the …

Abstract The Shifted Boundary Method (SBM) is an approximate domain method for
boundary value problems, in the broader class of unfitted/embedded/immersed methods …

We propose a new embedded finite element method to simulate partial differential equations
over domains with internal interfaces. Our approach belongs to the family of …

We propose a new embedded/immersed framework for computational solid mechanics,
aimed at vastly speeding up the cycle of design and analysis in complex geometry. In many …

Recently the optimal local truncation error method (OLTEM) has been developed for the 2-D
Poisson equation for heterogeneous materials with irregular interfaces and unfitted …

In the context of MOR techniques for parametrized PDEs, a novel computational method
relying on NURBS-based geometric mappings and PGD-based space separated …

We propose a formulation of the Shifted Boundary Method, an immersed/embedded/unfitted
boundary method, for transient thermo-elasticity problems characterized by very complex …

Abstract Recently, the Shifted Boundary Method (SBM) was proposed within the class of
unfitted (or immersed, or embedded) finite element methods. By reformulating the original …

Abstract The Shifted Boundary Method (SBM) belongs to the class of unfitted (or immersed,
or embedded) finite element methods and was recently introduced for the Poisson, linear …

We introduce and analyze a penalty-free formulation of the Shifted Boundary Method (SBM),
inspired by the asymmetric version of the Nitsche method. We prove its stability and …