HiMod reduction of advection-diffusion-reaction problems with general boundary conditions

DOI10.1007/s10915-017-0614-5zbMath1397.65248OpenAlexW2769841450MaRDI QIDQ1668711

Matteo C. Aletti, Simona Perotto, Alessandro Veneziani

Publication date: 29 August 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0614-5

zbMATH Keywords

model reductionRobin boundary conditionsSturm-Liouville eigenvalue problemspectral/finite element combined approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Spectral methods applied to problems in fluid mechanics (76M22) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (15)

Reduced order modelling for turbomachinery shape design ⋮ Hierarchically reduced models for the Stokes problem in patient-specific artery segments ⋮ Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries ⋮ Higamod: a hierarchical isogeometric approach for model reduction in curved pipes ⋮ Hierarchical model reduction driven by a proper orthogonal decomposition for parametrized advection-diffusion-reaction problems ⋮ Multilevel and multifidelity uncertainty quantification for cardiovascular hemodynamics ⋮ Localized model order reduction and domain decomposition methods for coupled heterogeneous systems ⋮ Hierarchical model reduction driven by machine learning for parametric advection-diffusion-reaction problems in the presence of noisy data ⋮ Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps ⋮ Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study ⋮ Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM ⋮ Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary Results ⋮ Towards fast hemodynamic simulations in large-scale circulatory networks ⋮ Efficient modeling of multimode guided acoustic wave propagation in deformed pipelines by hierarchical model reduction ⋮ Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting

Cites Work

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• Coupled model and grid adaptivity in hierarchical reduction of elliptic problems
• Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach
• Fluid-structure partitioned procedures based on Robin transmission conditions
• Analysis of the combined finite element and Fourier interpolation
• Higamod: a hierarchical isogeometric approach for model reduction in curved pipes
• Hybrid element-based approximation for the Navier-Stokes equations in pipe-like domains
• Combined finite element and spectral approximation of the Navier-Stokes equations
• Analysis of loop methods for simulating gas networks
• Theory and practice of finite elements.
• Geometric multiscale modeling of the cardiovascular system, between theory and practice
• Hierarchical Model Reduction: Three Different Approaches
• Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach
• Hierarchical Model (Hi-Mod) Reduction in Non-rectilinear Domains
• The Structure of Complex Networks
• On a Dimensional Reduction Method. III. A Posteriori Error Estimation and an Adaptive Approach
• On a Dimensional Reduction Method I. The Optimal Selection of Basis Functions
• On a Dimensional Reduction Method II. Some Approximation-Theoretic Results
• The circulatory system: from case studies to mathematical modeling
• New development in freefem++
• One-Dimensional Surrogate Models for Advection-Diffusion Problems
• Spectral Methods
• A Laguerre–Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel
• Spectral Methods
• Partial Differential Equations in Action

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