Anthony T. Patera
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View article: Mathematical Modeling and Error Estimation for the Thermal Dunking Problem: A Hierarchical Approach
Mathematical Modeling and Error Estimation for the Thermal Dunking Problem: A Hierarchical Approach Open
We consider the thermal dunking problem, in which a solid body is suddenly immersed in a fluid of different temperature, and study both the temporal evolution of the solid and the associated Biot number -- a non-dimensional heat transfer c…
View article: PEMANFAATAN YOUTUBE SEBAGAI MEDIA AJAR UNTUK MENINGKATKAN MINAT DAN MOTIVASI BELAJAR
PEMANFAATAN YOUTUBE SEBAGAI MEDIA AJAR UNTUK MENINGKATKAN MINAT DAN MOTIVASI BELAJAR Open
YouTube, as one of the most popular social media platforms among the public, holds significant potential as an educational tool. In the context of education, YouTube can be utilized as a teaching medium, believed to enhance students' inter…
View article: Certified Lumped Approximations for the Conduction Dunking Problem
Certified Lumped Approximations for the Conduction Dunking Problem Open
We consider the dunking problem: a solid body at uniform temperature $T_\text{i}$ is placed in a environment characterized by farfield temperature $T_\infty$ and time-independent spatially uniform heat transfer coefficient; we permit heter…
View article: Sinergi Pemerintah, Lembaga, Dan UMKM Di Era Digital Melalui Konten Bincang Online
Sinergi Pemerintah, Lembaga, Dan UMKM Di Era Digital Melalui Konten Bincang Online Open
Penelitian ini menyoroti membahas pentingnya sinergi antara pemerintah, lembaga, dan UMKM di era digital melalui konten bincang online, dengan fokus pada Terminal sebagai Pusat Ekonomi Lokal di Pandeglang. Narasumber dari berbagai instansi…
View article: Error Estimators for the Small-Biot Lumped Approximation for the Conduction Dunking Problem
Error Estimators for the Small-Biot Lumped Approximation for the Conduction Dunking Problem Open
We consider the dunking problem: a solid body at uniform temperature $T_{\text i}$ is placed in a environment characterized by farfield temperature $T_\infty$ and spatially uniform time-independent heat transfer coefficient. We permit hete…
View article: Certified Lumped Approximations for the Conduction Dunking Problem
Certified Lumped Approximations for the Conduction Dunking Problem Open
View article: Port-Reduced Reduced-Basis Component Method for Steady State Navier–Stokes and Passive Scalar Equations
Port-Reduced Reduced-Basis Component Method for Steady State Navier–Stokes and Passive Scalar Equations Open
We develop a Port-Reduced Reduced-Basis Component approach (PR-RBC) to solve partial differential equations (PDEs) that govern incompressible fluid flows in riverine geometries. The PR-RBC method was initially introduced in the literature …
View article: Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT)
Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT) Open
The aim of this paper is to develop some techniques for automation of the mappings (between working and reference domains) required by reduced basis methods: the development of geometry mappings is indeed often a substantial impediment to …
View article: A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics
A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics Open
View article: 4 Reduced basis methods
4 Reduced basis methods Open
In this chapter we describe the reduced basis (RB) method for parameterized partial differential equations (PDEs).We first describe the motivation for RB methods in the many-query and real-time contexts and the associated offline-online co…
View article: A Two-Level Parameterized Model-Order Reduction Approach for Time-Domain\n Elastodynamics
A Two-Level Parameterized Model-Order Reduction Approach for Time-Domain\n Elastodynamics Open
We present a two-level parameterized Model Order Reduction (pMOR) technique\nfor the linear hyperbolic Partial Differential Equation (PDE) of time-domain\nelastodynamics. In order to approximate the frequency-domain PDE, we take\nadvantage…
View article: An LP empirical quadrature procedure for parametrized functions
An LP empirical quadrature procedure for parametrized functions Open
View article: Project Artie: An Artificial Student for Disciplines Informed by Partial Differential Equations
Project Artie: An Artificial Student for Disciplines Informed by Partial Differential Equations Open
We present an Artificial Student, "Artie," for engineering science disciplines in which the mathematical model is a partial differential equation (PDE); Artie considers here the particular case of steady heat conduction. Artie accepts prob…
View article: Project Artie: An Artificial Student for Disciplines Informed by Partial\n Differential Equations
Project Artie: An Artificial Student for Disciplines Informed by Partial\n Differential Equations Open
We present an Artificial Student, "Artie," for engineering science\ndisciplines in which the mathematical model is a partial differential equation\n(PDE); Artie considers here the particular case of steady heat conduction.\nArtie accepts p…
View article: Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT)
Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT) Open
The aim of this paper is to develop some techniques for automation of the mappings (between working and reference domains) required by reduced basis methods: the development of geometry mappings is indeed often a substantial impediment to …
View article: Constant-Free, Randomized a Posteriori Error Estimators for Parameter-Dependent Partial Differential Equations
Constant-Free, Randomized a Posteriori Error Estimators for Parameter-Dependent Partial Differential Equations Open
View article: A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities
A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities Open
View article: A Reduced Basis Technique for Long-Time Unsteady Turbulent Flows
A Reduced Basis Technique for Long-Time Unsteady Turbulent Flows Open
We present a reduced basis technique for long-time integration of parametrized incompressible turbulent flows. The new contributions are threefold. First, we propose a constrained Galerkin formulation that corrects the standard Galerkin st…
View article: A Reduced Basis Technique for Long-Time Unsteady Turbulent Flows
A Reduced Basis Technique for Long-Time Unsteady Turbulent Flows Open
We present a reduced basis technique for long-time integration of parametrized incompressible turbulent flows. The new contributions are threefold. First, we propose a constrained Galerkin formulation that corrects the standard Galerkin st…
View article: A LOCALIZATION STRATEGY FOR DATA ASSIMILATION; APPLICATION TO STATE ESTIMATION AND PARAMETER ESTIMATION *
A LOCALIZATION STRATEGY FOR DATA ASSIMILATION; APPLICATION TO STATE ESTIMATION AND PARAMETER ESTIMATION * Open
We present a localization procedure for addressing data assimilation tasks-state estimation and parameter estimation-in which the quantity of interest pertains to a subregion of the domain over which the mathematical model is properly defi…
View article: Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures
Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures Open
In this paper we introduce local approximation spaces for component-based static condensation (sc) procedures that are optimal in the sense of Kolmogorov. To facilitate simulations for large structures such as aircraft or ships, it is cruc…
View article: High performance computing on smartphones
High performance computing on smartphones Open
Nowadays there is a strong demand to simulate even real-world engineering problems on small computing devices with very limited capacity, such as a smartphone. We explain, using a concrete example, how we can obtain a reduction in complexi…
View article: Model order reduction of parameterized systems (MoRePaS)
Model order reduction of parameterized systems (MoRePaS) Open
View article: Component-based reduced basis for parametrized symmetric eigenproblems
Component-based reduced basis for parametrized symmetric eigenproblems Open
View article: Component-based reduced basis for parametrized symmetric eigenproblems
Component-based reduced basis for parametrized symmetric eigenproblems Open
View article: Préface
Préface Open
258 participants.
View article: A General Multipurpose Interpolation Procedure: The Magic Points
A General Multipurpose Interpolation Procedure: The Magic Points Open
Lagrangian interpolation is a classical way to approximate general functions by finite sums of well chosen, pre-definite, linearly independent generating functions; it is much simpler to implement than determining the best fits with respec…