Engineering With Computers

Abstract Knowledge-driven model reduction techniques, such as asymptotic reduction and averaging, are widely employed to simplify the computational complexity of multiphysics systems exhibiting scale separation. In this work, we analyse a vertically averaged biphasic model for thin poroelastic materials and derive error estimates to assess its accuracy and identify key error sources. In particula…

Model Reduction and Neural NetworksPhysical SciencesPhysics and AstronomyStatistical and Nonlinear Physics

Abstract Fast numerical predictions have become an indispensable component of modern engineering design workflows, whether in interactive design within computer-aided design (CAD) environments or in multi-query numerical tasks such as design optimization and uncertainty quantification. Depending on the context, “fast” may refer to near real-time predictions within a few seconds, or simply to meth…

Advanced Numerical Analysis TechniquesComputational MechanicsEngineeringPhysical Sciences

This paper presents spline-based coupling methods for partitioned multiphysics simulations, specifically designed for isogeometric analysis (IGA) based solvers. Traditional vertex-based coupling approaches face significant challenges when applied to IGA solvers, including geometric accuracy issues, interpolation errors, and substantial communication overhead. The methodology draws on the IGA math…

Advanced Numerical Analysis TechniquesComputational MechanicsEngineeringPhysical Sciences
Paper
Jan Hurtado·...·Alberto Raposo
3/22/2026

This paper revisits the mesh denoising problem by presenting an extended and refined version of our previous adaptive patch framework. Triangular meshes acquired from real-world data often contain noise that degrades surface quality, and denoising techniques must remove such distortions while preserving true geometric details, a difficult task due to the similar high-frequency characteristics of …

3D Shape Modeling and AnalysisComputational MechanicsEngineeringPhysical Sciences

This paper describes a fast direct boundary element method for elastodynamic transmission problems in two dimensions, which can be used for analyzing elastic wave scattering by an inclusion. We develop an efficient solver based on a discretization method that is broadly applicable regardless of the inclusion shape. From the smoothness of the solutions of the Navier–Cauchy equation, it is reasonab…

Mathematical PhysicsMathematicsNumerical methods in inverse problemsPhysical Sciences

Abstract Metal additive manufacturing is an efficient technique for producing metallic components with high flexibility. Understanding the mechanical properties of printed parts requires detailed analysis of their microstructures. While experiments are reliable for capturing as-printed microstructures, they are often costly and time-consuming. Alternatively, numerical simulations have become valu…

Additive Manufacturing Materials and ProcessesEngineeringMechanical EngineeringPhysical Sciences

We present a high-performance coupled framework that advances the integration of the finite volume method (FVM) and the lattice Boltzmann method (LBM) for multi-physics thermal flow simulations, including heat conduction, conjugated heat transfer, natural and forced convection, and phase change. The proposed scheme employs a central-moments-based collision operator for both velocity and temperatu…

Computational MechanicsEngineeringLattice Boltzmann Simulation StudiesPhysical Sciences
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