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Finiteelementcourse.pdf

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L4_feprobs.html

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@@ -1075,7 +1075,7 @@ <h2><span class="section-number">4.4. </span>Solvability and stability of some f
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\int_{\Gamma_0} (v-\bar{v})\, d s
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\right|
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=\left|
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1 \times \int_{\Gamma_0} (v-\bar{v})\, d s
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\int_{\Gamma_0} 1 \times (v-\bar{v})\, d s
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\leq |\Gamma_0|^{1/2}\|v-\bar{v}\|_{L^2(\partial\Omega)},\\\leq |\Gamma_0|^{1/2}C |v|_{H^1(\Omega)}.\end{aligned}\end{align} \]</div>
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<p>Combining, we get</p>

_sources/L4_feprobs.rst.txt

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@@ -1044,7 +1044,7 @@ Poisson problem with (full or partial) Dirichlet conditions.
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\int_{\Gamma_0} (v-\bar{v})\, d s
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1 \times \int_{\Gamma_0} (v-\bar{v})\, d s
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\int_{\Gamma_0} 1 \times (v-\bar{v})\, d s
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\leq |\Gamma_0|^{1/2}\|v-\bar{v}\|_{L^2(\partial\Omega)},
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