Browsing Singapore-MIT Alliance (SMA) by Subject "a posteriori error estimation"
Now showing items 1-7 of 7
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Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson’s Equation
(2003-01)We present a method for Poisson’s equation that computes guaranteed upper and lower bounds for the values of linear functional outputs of the exact weak solution of the infinite dimensional continuum problem using traditional ... -
Real-Time Optimal Parametric Design of a Simple Infiltration-Evaporation Model Using the Assess-Predict-Optimize (APO) Strategy
(2003-01)Optimal parametric design of a system must be able to respond quickly to short term needs as well as long term conditions. To this end, we present an Assess-Predict-Optimize (APO) strategy which allows for easy modification ... -
Real-Time Reliable Prediction of Linear-Elastic Mode-I Stress Intensity Factors for Failure Analysis
(2006-01)Modern engineering analysis requires accurate, reliable and efficient evaluation of outputs of interest. These outputs are functions of "input" parameter that serve to describe a particular configuration of the system, ... -
Reduced-Basis Approximation of the Viscosity-Parametrized Incompressible Navier-Stokes Equation: Rigorous A Posteriori Error Bounds
(2004-01)We present a technique for the rapid and reliable prediction of linear-functional outputs of elliptic partial differential equations with affine (or approximately affine) parameter dependence. The essential components are ... -
Reduced-Basis Methods for Inverse Problems in Partial Differential Equations
(2004-01)We present a technique for the rapid, reliable, and accurate evaluation of functional outputs of parametrized elliptic partial differential equations. The essential ingredients are (i) rapidly globally convergent reduced-basis ... -
Reduced-Basis Output Bound Methods for Parametrized Partial Differential Equations
(2002-01)We present a technique for the rapid and reliable prediction of linear-functional outputs of elliptic (and parabolic) partial differential equations with affine parameter dependence. The essential components are (i) ... -
Reliable Real-Time Solution of Parametrized Elliptic Partial Differential Equations: Application to Elasticity
(2002-01)The optimization, control, and characterization of engineering components or systems require fast, repeated, and accurate evaluation of a partial-differential-equation-induced input-output relationship. We present a technique ...
