- A Space|Time Petrov||Galerkin Certified Reduced Basis Method🔍
- A Space|Time Certified Reduced Basis Method for Burgers' Equation🔍
- Lawrence Livermore National Laboratory🔍
- An improved error bound for reduced basis approximation of linear ...🔍
- [2004.00548] A space|time certified reduced basis method for ...🔍
- AN IMPROVED ERROR BOUND FOR REDUCED BASIS ...🔍
- Preconditioned Least|Squares Petrov–Galerkin Reduced Order ...🔍
- A Class of Discontinuous Petrov–Galerkin Methods. Part IV🔍
A Space|Time Petrov||Galerkin Certified Reduced Basis Method
A Space-Time Petrov--Galerkin Certified Reduced Basis Method
Abstract. We present a space-time certified reduced basis method for long-time integration of parametrized parabolic equations with quadratic nonlinearity which ...
A Space-Time Petrov--Galerkin Certified Reduced Basis Method
Your story matters. Citation: Yano, Masayuki. “A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations.” SIAM ...
A Space-Time Petrov--Galerkin Certified Reduced Basis Method
We present a space-time certified reduced basis method for long-time integration of parametrized parabolic equations with quadratic nonlinearity.
A Space-Time Certified Reduced Basis Method for Burgers' Equation
We first introduce a Petrov-Galerkin space-time finite element discretiza- ... ||e||X. (a) error. 0. 50. 100. 150. 200. 100. 101. 102. Pe η. (b) ...
A Space-Time Petrov--Galerkin Certified Reduced Basis Method
We present a space-time certified reduced basis method for long-time integration of parametrized parabolic equations with quadratic nonlinearity ...
Lawrence Livermore National Laboratory
Backward Euler time integration. -. ||w2 - w PG||2 ≤ √Nt(1 + ... A space-time Petrov-Galerkin certified reduced basis method: application to the Boussinesq.
A Space-Time Petrov--Galerkin Certified Reduced Basis Method
Download Citation | A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations | We present a space-time ...
An improved error bound for reduced basis approximation of linear ...
and ˆrN (μ)||Y = rN (μ) Y . The “truth dual norm ... Yano, A Space-Time Petrov-Galerkin Certified Reduced Basis Method: Application to the.
[2004.00548] A space-time certified reduced basis method for ... - arXiv
The error of the EIM method is then rigorously incorporated into the certification procedure. The Petrov-Galerkin finite element ...
AN IMPROVED ERROR BOUND FOR REDUCED BASIS ... - jstor
... || • ||y, || • \\h, a interval I(0, T], T > 0 and ... Yano, A Space-Time Petrov-Galerkin Certified Reduced Basis Method: Application to the.
... reduced basis method. Building on [83], Balabanov [9] ... Space-time least-squares petrov-galerkin projection for nonlinear model reduction.
(PDF) A Streamline upwind Petrov-Galerkin Reduced Order Method ...
We will apply a finite element method discretization in a optimize-then-discretize approach. For the parabolic case, a space-time framework will ...
A Class of Discontinuous Petrov–Galerkin Methods. Part IV
This paper presents a new method with no phase errors for one-dimensional. (1D) time-harmonic wave propagation problems using new ideas that ...
A space-time certified reduced basis method for quasilinear ...
The time-marching Crank-Nicolson approximation of the Petrov-Galerkin prob- lem also allows to treat the non-linearity with the EIM in order to have offline- ...
A space-time certified reduced basis method for quasilinear ... - arXiv
The Petrov-Galerkin finite element discretization allows to benefit from the Crank-Nicolson interpretation of the discrete problem and to use a ...
A Class of Discontinuous Petrov–Galerkin Methods. Part I
Even if we set aside the p-convergence issue, notice that both the results are suboptimal in h, as the best approximation error of the finite element space is O ...
Reduced-Basis Methods for Inverse Problems in Partial Differential ...
The online computational complexity depends only on the dimension of the reduced-basis space (typically small) and the parametric complexity of the partial.
Deep learning-based reduced order models for nonlinear ... - POLITesi
does not automatically ensure ROM stability on long time intervals. The RB method under the form of either POD-Galerkin or POD-Petrov-Galerkin methods has ...