Publications related to An Easily Computable Error Estimator In Space And Time For The Wave Equation

PMU-based linear state estimation of Lausanne subtransmission network: Experimental validation

Mario Paolone, Asja Derviskadic, Paolo Romano, Marco Pignati, Lorenzo Zanni, Ali Abur

The paper presents the implementation details and the experimental validation of a linear state estimator based on synchrophasor measurements in a real subtransmission network. The data are provided by 15 phasor measurement units (PMUs) installed in the 12 ...

2020

No-Regret Learning from Partially Observed Data in Repeated Auctions

Maryam Kamgarpour, Orcun Karaca

We study a general class of repeated auctions, such as the ones found in electricity markets, as multi-agent games between the bidders. In such a repeated setting, bidders can adapt their strategies online using no-regret algorithms based on the data obser ...

2020

Estimation of separable direct and indirect effects in continuous time

Mats Julius Stensrud

Many research questions involve time-to-event outcomes that can be prevented from occurring due to competing events. In these settings, we must be careful about the causal interpretation of classical statistical estimands. In particular, estimands on the h ...

2020

MATHICSE Technical Report: A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells

Annalisa Buffa, Pablo Antolin Sanchez, Luca Coradello

This work focuses on the development of a posteriori error estimates for fourth-order, elliptic, partial differential equations. In particular, we propose a novel algorithm to steer an adaptive simulation in the context of Kirchhoff plates and Kirchhoff-Lo ...

MATHICSE2019

MATHICSE Technical Report: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

Annalisa Buffa, Pablo Antolin Sanchez, Rafael Vazquez Hernandez, Luca Coradello

The focus of this work is on the development of an error-driven isogeometric framework, capable of automatically performing an adaptive simulation in the context of second- and fourth-order, elliptic partial differential equations defined on two-dimensiona ...

MATHICSE2019

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

Marco Picasso, Olga Gorynina

The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. An error estimate is derived in the ...

2019

A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method

Fabio Nobile, Diane Sylvie Guignard

In this work, we consider an elliptic partial differential equation (PDE) with a random coefficient solved with the stochastic collocation finite element method (SC-FEM). The random diffusion coefficient is assumed to depend in an affine way on independent ...

2018

Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method

Mathieu Jonathan Fabre, Yves Renard

We introduce a residual-based a posteriori error estimator for contact problems in two- and three-dimensional linear elasticity, discretized with linear and quadratic finite elements and Nitsche’s method. Efficiency and reliability of the estimator are pro ...

2018

Distributed State Estimation and Cooperative Path-Following Under Communication Constraints

Francisco Fernandes Castro Rego

The main topics of this thesis are distributed estimation and cooperative path-following in the presence of communication constraints, with applications to autonomous marine vehicles. To this end, we study algorithms that take explicitly into account the c ...

EPFL2018

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Joachim Krieger

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\mathbb{R}^{3+1}

constructed in [28], [27] are stable along a co-dimension three manifold of radial data perturbations in a suit ...

2018

An Easily Computable Error Estimator In Space And Time For The Wave Equation

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PMU-based linear state estimation of Lausanne subtransmission network: Experimental validation

No-Regret Learning from Partially Observed Data in Repeated Auctions

Estimation of separable direct and indirect effects in continuous time

MATHICSE Technical Report: A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells

MATHICSE Technical Report: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method

Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method

Distributed State Estimation and Cooperative Path-Following Under Communication Constraints

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

MATHICSE Technical Report: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method

Distributed State Estimation and Cooperative Path-Following Under Communication Constraints

Estimation of separable direct and indirect effects in continuous time

PMU-based linear state estimation of Lausanne subtransmission network: Experimental validation

No-Regret Learning from Partially Observed Data in Repeated Auctions

MATHICSE Technical Report: A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells

A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method