Greedy Reduced Basis Sample Clauses

Greedy Reduced Basis. ‌ In the so called Greedy Reduced Basis (GRB) approach, the basis is built bottom-up; that is, we start with an empty basis, and then add vectors according to a particular rule, until some stopping criterion is satisfied. In particular, given a current RB of size k, the algorithm estimates the RB approximation error for every value of the parameter in S, then adds to the RB the solution corresponding to the value of the parameter that maximizes the error estimates. Since in this thesis we will not use the GRB approach, we provide only a quick overview of it, in order to highlight the differences with the POD method, and we refer to the literature for further details (see e.g., [15, 26, 55, 83] and references therein). Let us consider the problem (4.1), that is a steady discrete linear problem. We will denote by VN the reduced space generated by the basis vectors v1, . . . , vN . Given a training set S for the parameter, and a tolerance τ 0, the GRB procedure is sum- marized in Algorithm 3. Algorithm 3 GRB
Sample 1
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Related to Greedy Reduced Basis

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You are also treated as an “active participant” if you make a voluntary or mandatory contribution to any type of plan, even if your employer makes no contribution to the plan. 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